132657232064 has 112 divisors (see below), whose sum is σ = 320838819840. Its totient is φ = 53123420160.

The previous prime is 132657232031. The next prime is 132657232069. The reversal of 132657232064 is 460232756231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (132657232069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995969 + ... + 1121279.

It is an arithmetic number, because the mean of its divisors is an integer number (2864632320).

Almost surely, 2^132657232064 is an apocalyptic number.

132657232064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132657232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160419409920).

132657232064 is an abundant number, since it is smaller than the sum of its proper divisors (188181587776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132657232064 is a wasteful number, since it uses less digits than its factorization.

132657232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125486 (or 125476 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

Adding to 132657232064 its reverse (460232756231), we get a palindrome (592889988295).

The spelling of 132657232064 in words is "one hundred thirty-two billion, six hundred fifty-seven million, two hundred thirty-two thousand, sixty-four".